Study of ${e}^{+}{e}^{-}\to \eta \varphi $ at center-of-mass energies from 3.773 to 4.600 GeV

We present a study of the process ${e}^{+}{e}^{-}\to \eta \varphi $ using data samples collected with the BESIII detector corresponding to an integrated luminosity of $15.03\text{}\text{}{\mathrm{fb}}^{-1}$ at 23 center-of-mass energies from 3.773 to 4.600 GeV. The Born cross sections are measured at each energy, and a coherent fit to cross section line shape is performed using a Breit-Wigner parametrization to search for charmoniumlike vector states. No significant signals of the $Y\left(4230\right)$ and $Y\left(4360\right)$ resonances are observed.